Abstract
One of the most significant problems of supply chain management is the distribution of products between locations. The delivery of goods from a warehouse to local customers is a critical aspect of material logistics. The Heterogeneous Fixed Fleet Vehicle Routing Problem (HFFVRP) is a variant of the Vehicle Routing Problem (VRP) that aims to provide service to a specific customer group with minimum cost using a limited number of vehicles. We assume that the number of vehicles is fixed. We must decide how to make the best use of the fixed fleet of vehicles. In this paper we describe a Tabu Search algorithm embedded in the Adaptive Memory (TSAM) procedure to solve the HFFVRP. Computational experiments indicating the performance of the algorithm concerning quality of solution and processing time are reported.
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References
Eilon S, Watson-Grandy C, Christofides N (1971) Distribution management: mathematical modeling and practical analysis. Hafner, New York
Dantzig G-B, Ramser J-H (1959) The truck dispatching problem. Manage Sci 6(1):80–91
Bodin L-D, Golden B-L, Assad A-A, Ball M-O (1983) Routing and scheduling of vehicles and crews. The state of the Art. Comp Oper Res 10:69–211
Laporte G (1992) The vehicle routing problem: an overview of exact and approximate algorithms. Eur J Oper Res 59(3):345–358
Laporte G (1992) The traveling salesman problem: an overview of exact and approximate algorithms. Eur J Oper Res 59(2):247–291
Laporte G (1993) Computer aided routing CWI tract.75:M.W.P. Savelsbergh Mathematisch Centrum, Amsterdam, 1992, 134 pages, DFL.40.00, ISBN 90 6196 412 1. Eur J Oper Res 71(1):143
Toth P, Vigo D (2002) Models, relaxations and exact approaches for the capacitated vehicle routing problem. Discrete Appl Math 123:487–512
Golden B-L, Assad A-A, Levy L, Gheysens F-G (1984) The fleet size and mix vehicle routing problem. Comp Oper Res 11(1):49–66
Gendreau M, Laporte G, Musaraganyi C, Taillard E-D (1999) A Tabu search heuristic for the heterogeneous fleet vehicle routing problem. Comp Oper Res 26:1153–1173
Choi E, Tcha D-W (2007) A column generation approach to the heterogeneous fleet vehicle routing problem. Comp Oper Res 34:2080–2095
Salhi S, Sari M, Sadi D, Touati NAC (1992) Adaptation of some vehicle fleet mix heuristics. OMEGA 20:653–660
Osman I-H, Salhi S (1996) Local search strategies for the VFMP. In: Rayward-Smith VJ, Osman IH, Reeves CR, Smith GD (eds) Modern heuristic search methods. Wiley, New York, pp 131–153
Taillard E-D (1993) Parallel iterative search methods for vehicle routing problems. Networks 23:661–673
Taillard E-D, Rochat Y (1995) Probabilistic diversification and intensification in local search for vehicle routing. J Heuristics 1:147–167
Taillard E-D (1999) A heuristic column generation method for the heterogeneous fleet VRP. RAIRO 33(1):1–14
Tarantilis C, Kiranoudis C, Vassiliadis V (2004) A threshold accepting metaheuristic for the heterogeneous fixed fleet vehicle routing problem. Eur J Oper Res 152:148–158
Li F, Golden B-L, Wasil E-A (2007) A record to record travel algorithm for solving the heterogeneous fleet vehicle routing problem. Comp Oper Res 34:2734–2742
Desrochers M, Verhoog T-W (1991) A new heuristic for the fleet size and mix vehicle routing problem. Comp Oper Res 18:263–274
Glover F (1989) Tabu search—Part I. ORSA. J Comp 1(3):190–206
Arntzen H, Hvattum L-M, Lokketangen A (2006) Adaptive memory search for multi demand multidimensional knapsack problems. Comp Oper Res 33:2508–2525
Glover F (1977) Heuristics for integer programming using surrogate constraints. Decis Sci 8(1):156–166
Potvin J-Y, Rousseau J-M (1993) A parallel route building algorithm for the vehicle routing and scheduling problem with time windows. Eur J Oper Res 66:331–340
Liu F-H, Shen S-Y (1999) A route-neighborhood-based metaheuristic for vehicle routing problem with time windows. Eur J Oper Res 118:485–504
Brandão J (2009) A deterministic tabu search algorithm for the fleet size and mix vehicle routing problem. Eur J Oper Res 195:716–728
Golden B, Wasil E, Kelly J, Chao I-M (1998) The impact of metaheuristics on solving the vehicle routing problem: algorithms, problem sets, and computational results. In: Crainic T, Laporte G (eds) Fleet management and logistics. Kluwer, Boston, pp 33–56
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We would like to thank the anonymous referees for their careful reading and very useful comments on earlier versions of this paper.
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Euchi, J., Chabchoub, H. A hybrid tabu search to solve the heterogeneous fixed fleet vehicle routing problem. Logist. Res. 2, 3–11 (2010). https://doi.org/10.1007/s12159-010-0028-3
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DOI: https://doi.org/10.1007/s12159-010-0028-3